Question : A cylinder 84 cm long is made of steel. Its external and internal diameters are 10 cm and 8 cm respectively. What is the volume of the steel in the cylinder (in 10^–3 m³ and correct up to three decimal places)?

Option 1: 2.112

Option 2: 9.504

Option 3: 2.376

Option 4: 4.752

Question : The total surface area of a right circular cylinder is 1848 cm². The ratio of its total surface area to the curved surface area is 3 : 1. The volume of the cylinder is: (Take $\pi=\frac{22}{7}$)

Option 1: 4312 cm³ 

Option 2: 3696 cm³ 

Option 3: 4002 cm³ 

Option 4: 4851 cm³ 

Question : 60 discs each of diameter 21 cm and thickness $\frac{1}{3}$ cm are stacked one above the other to form a right circular cylinder. What is its volume in m³ if $\pi=\frac{22}{7}$?

Option 1: 7.62 × 10^–2

Option 2: 8.05 × 10^–3

Option 3: 6.93 × 10^–3

Option 4: 4.25 × 10^–2

Question : The lateral surface area of a cylinder is 1056 cm² and its height is 16 cm. Find its volume.

Option 1: 4545 cm³

Option 2: 4455 cm³

Option 3: 5445 cm³

Option 4: 5544 cm³

Question : The largest sphere is carved out of a cube of side 7 cm. The volume of the sphere will be:

Option 1: 179.67 cm³

Option 2: 165.67 cm³

Option 3: 175.67 cm³

Option 4: 182.67 cm³

Question : The height of a right circular cone is 35 cm and the area of its curved surface is four times the area of its base. What is the volume of the cone (in 10^–3 m³ and correct up to three decimal places)?

Option 1: 3.316

Option 2: 2.994

Option 3: 2.625

Option 4: 3.384